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Finding the Fourth Proportional to 5,651.84, 7,800 and 3,134.74

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Solution

The fourth proportional to 5,651.84, 7,800 and 3,134.74 is: 4,326.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.84 : 7,800 = 3,134.74 : x
  2. Step 2: Convert to fraction form
    5,651.84/7,800 = 3,134.74/x
  3. Step 3: Cross multiply
    5,651.84x = 7,800 × 3,134.74
  4. Step 4: Simplify right side
    5,651.84x = 24,450,972
  5. Step 5: Solve for x
    x = 24,450,972/5,651.84
  6. Step 6: Final answer
    x = 4,326.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.